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harina [27]
3 years ago
6

Write a point-slope equation for the line ?

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
3 0

Answer:

Point-slope equation for the line is

y-2= -\frac {3}{2} (x -0)

Step-by-step explanation:

Equation of straight line in slope intercept form is given as

y-y_1=m(x-x_1)  ---------- (1)

<u>Here</u>

Slope            m=-\frac{3}{2}  

Any Passing Point     (x_1, y_1) = (0, 2)

Substituting values in equation (1)

y-2= -\frac {3}{2} (x -0)

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What is the volume of the cylinder. its 15 units high and a radius of 11.<br><br>​
murzikaleks [220]

Answer:

V = 1815 pi units ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = pi ( 11)^2 * 15

V = 1815 pi

8 0
3 years ago
Popcorn was donated for the school fair by 3 different popcorn vendors. They donated a total of 636 bags of popcorn.Each vendor
miv72 [106K]

Answer:

The answer is 212.

Step-by-step explanation:

If there are 3 vendors that donated popcorn, and there are 636 bags, and they all gave the <em>same</em> amount of bags, then you would get the total (636) and divide it by the amount of vendors (3) which would give you 212.

5 0
4 years ago
25222+14945 rounded to the nearest ten
FrozenT [24]

The answer for this problem is 40167.

To round this up to the nearest 10, if the ones is above 5, round it up.

To the nearest 10

40170

6 0
3 years ago
Read 2 more answers
Complete the equation of the line through ( − 1 0 , − 7 ) (−10,−7) and ( − 5 , − 9 ) (−5,−9).
Maksim231197 [3]

The point-slope form:

y-y_1=m(x-x_1)

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-10, -7) and (-5, -9). Substitute:

m=\dfrac{-9-(-7)}{-5-(-10)}=\dfrac{-9+7}{-5+10}=\dfrac{-2}{5}=-\dfrac{2}{5}

y-(-7)=-\dfrac{2}{5}(x-(-10))

\boxed{y+7=-\dfrac{2}{5}(x+10)}    <em>point-slope form</em>

y+7=-\dfrac{2}{5}(x+10)      <em>use distributive property</em>

y+7=-\dfrac{2}{5}x-4     <em>subtract 7 from both sides</em>

\boxed{y=-\dfrac{2}{5}x-11}      <em>slope-intercept form</em>

y=-\dfrac{2}{5}x-11          <em> multiply both sides by 5</em>

5y=-2x-55      <em>add 2x to both sides</em>

\boxed{2x+5y=-55}      <em>standard form</em>

3 0
3 years ago
G Find non-zero vectors x and y that are both orthogonaland orthogonal to each other.
Rainbow [258]

Answer:

x = <1,5>

y = <-5,1>

Step-by-step explanation:

Let x, y be two vectors in 2D

defined as:

x = <a, b>

y = <c, d>

for x, y to be orthogonal, we know that their dot or scalar product must be zero so,

x . y = 0

<a, b> . <c, d> = 0

a*c + b*d = 0 ------ (A)

Now, consider any four values for a, b, c, and d respectively which satisfy the equation (A)

i.e. I chose (you can choose on your own choice):

a=1, b=5, c=-5, d=1

Verifying Equation (A):

(1)*(5) + (-5)*(1) =0

5 - 5 = 0

0 = 0 (True)

Therefore,

Our vectors x, y are:

x = <1, 5>

y = <-5, 1>

4 0
4 years ago
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